SOLUTION: Simplify: {{{ m/ (1 + (x/ (p+ (n/2)))) }}}

Algebra ->  Equations -> SOLUTION: Simplify: {{{ m/ (1 + (x/ (p+ (n/2)))) }}}      Log On


   

Question 597300: Simplify: +m%2F+%281+%2B+%28x%2F+%28p%2B+%28n%2F2%29%29%29%29+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+m%2F%281+%2B+x%2F%28p%2B+n%2F2%29%29+

+m%2F%281+%2B+x%2F%28%282p%29%2F2%2B+n%2F2%29%29%29+

+m%2F%281+%2B+x%2F%28%282p%2Bn%29%2F2%29%29+

+m%2F%281+%2B+x%282%2F%282p%2Bn%29%29%29+

+m%2F%281+%2B+%282x%29%2F%282p%2Bn%29%29+

+m%2F+%28%282p%2Bn%29%2F%282p%2Bn%29+%2B+%282x%29%2F%282p%2Bn%29%29+

+m%2F+%28%282p%2Bn%2B2x%29%2F%282p%2Bn%29%29+

+m%28%282p%2Bn%29%2F%282p%2Bn%2B2x%29%29+

+%28m%282p%2Bn%29%29%2F%282p%2Bn%2B2x%29+

+%282mp%2Bmn%29%2F%282p%2Bn%2B2x%29+

So +m%2F%281+%2B+x%2F%28p%2B+n%2F2%29%29+ simplifies to +%282mp%2Bmn%29%2F%282p%2Bn%2B2x%29+

In other words, +m%2F%281+%2B+x%2F%28p%2B+n%2F2%29%29+=+%282mp%2Bmn%29%2F%282p%2Bn%2B2x%29+ for all allowed domain values of m, x, p and n.